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A parallel plate air capacitor consists of two circular plates of diameter `8 cm` . At what distance should the plates be held so as to have the same capacitance as that of a sphere of a diameter `20 cm` ?A. `4xx10^(-3)m`B. `1xx10^(-3)cm`C. `1xx10^(-2)cm`D. `1xx10^(-3)m` |
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Answer» Correct Answer - D `r_(1)=(4)/(2)=2xx10^(-2)cm` `r_(2)=(20)/(2)=10xx20^(-2)cm` Capacity of parallel plate capacitor = Capacitor of spherical capacitor `(epsilon_(0)A)/(d)=4piepsilon_(0)r_(2)` `"or "(epsilon_(0)pi r_(1)^(2))/(d)=4pi epsilon_(0)r_(2)` `d=(r_(1)^(2))/(4_(2))` `=((2xx10^(-2))^(2))/(4xx10xx10^(-2))=(4xx10^(-4))/(4xx10^(-1))` Distance between plates, `d=1xx10^(-3)m` |
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